1.[b, T] denotes the commutator of generalized Calderon-Zygmund operators T with Lipschitz function b. This paper deals with that [b, T] is bounded in classical Hardy spaces and Herz type Hardy spaces, and proves that [b, T] is bounded from Hardy spaces to weak Lebesgue spaces and from Herz type Hardy spaces to weak Herz spaces on critical point.
[b,T]表示由Lipschitz函数b与广义Calderon-Zygmund算子T生成的交换子．本文研究了[b,T]在经典Hardy空间和Herz型Hardy空间上的有界性,并且在临界点情形证明了该交换子是从Hardy空间到弱Lebesgue空间以及Herz型Hardy到弱Herz空间有界的．
2.Let be commutators generated by BMO function b and θ-type Calderón-Zygmund singular integral operators,we discussed the boundedness of on Hardy and Herz-Hardy spaces,where we used the decomposition theorem of Hardy spaces in terms of atoms and molecules.
设[b,T]表示θ型Calderón-Zygmund奇异积分算子T与b∈BMO(Rn)生成的交换子,在本文中,我们主要用Hardy空间原子及分子分解理论,讨论了[b,T]在Hardy空间及Herz型Hardy空间的有界性.
3.In the first chapter, we prove the boundness of commutators generated by BMO function b and θ-type Calderon-Zygmund singular integral operator T on Hardy and Herz-Hardy spaces, where we use the decomposition theorem of Hardy spaces in terms of atoms and molecules.
在第一章里，我们主要利用Hardy空间原子及分子分解理论，证明了θ型Calderón-Zygmund算子T与BMO函数b生成的交换子在Hardy及Herz-hardy空间上的有界性。
4.The boundedness of multilinear commutators of singular integrals with Calderón-Zygmund kernel are obtained on variant Hardy spaces, weak Hardy spaces and Herz type Hardy spaces by atom decomposition.
利用原子分解得到了具有Caldern-Zygmund核的奇异积分多线性交换子在变形Hardy空间、变形弱Hardy空间及变形Herz型Hardy空间上的有界性.
5.In this paper, the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces.
本文研究了由齐性分数次积分和BMO函数生成的高阶交换子在某些Hardy空间、弱Hardy空间和Herz型Hardy空间上的连续性.
6.In the third chapter, we prove the boundedness of commutator, which generated by the Marcinkiewicz integral and the function 6, on the classical Hardy space and the Herz-type Hardy space.
在第三章中,我们考虑了由上述Marcinkiewicz积分算子μ_Ω与Lipschitz函数b构成的交换子μ_(Ω,b)在经典Hardy空间及Herz型Hardy空间上有界。
7.On the Hardy-Little wood Theorem in the Hardy Spaces over the Upper Half-plane
关于上半平面Hardy空间的Hardy—Littlewood定理
8.Boundedness of generalized Calderón-Zygmund operators on weighted Hardy spaces are discussed with the molecular characterization of the weighted Hardy spaces,it shows that the θ(t) type Calderón-Zygmund operators are bounded from H p ω to itself, and from H 1 ω to L 1 ω.
运用加权Hardy空间的分子刻画理论 ,讨论了广义Calder?n Zygmund算子在加权Hardy空间上的有界性。 证明了θ(t)型Calder?n Zygmund算子是从Hpω 到Hpω(0
9.Let T_Ω be the singular integral with homogeneous kernel, and Ω and T~(b,m)_Ω be the commutators generated by T_Ω and a BMO function b. The boundedness properties of T~(b,m)_Ω on a kind of atomic Hardy spaces and Herz-type Hardy spaces are established, under some assumptions such as the Dini-condition.
设TΩ是具有齐性核的奇异积分算子,Tb,mΩ是它与BMO函数b生成的交换子,当核函数Ω满足Dini-条件时,证明了它在一类原子Hardy空间和Herz型原子Hardy空间上的有界性.
10.The results of χ 2 fitness test indicated that Mnl Ⅰ sites of the exon 2 of MTNR1A gene in Small Tail Han sheep and Dorset sheepwere not in Hardy Weinberg equilibrium(0.01< P 0.05).
χ2 适合性检验结果表明 ,小尾寒羊和多赛特羊MTNR1A基因第二外显子在MnlⅠ酶切位点没有达到Hardy Weinberg平衡状态 (0 .0 1
